4559137440 has 384 divisors, whose sum is σ = 17037361152. Its totient is φ = 1010257920.

The previous prime is 4559137403. The next prime is 4559137459. The reversal of 4559137440 is 447319554.

It is a junction number, because it is equal to n+sod(n) for n = 4559137392 and 4559137401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8717019 + ... + 8717541.

It is an arithmetic number, because the mean of its divisors is an integer number (44368128).

Almost surely, 2^4559137440 is an apocalyptic number.

4559137440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4559137440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8518680576).

4559137440 is an abundant number, since it is smaller than the sum of its proper divisors (12478223712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4559137440 is a wasteful number, since it uses less digits than its factorization.

4559137440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 4559137440 is about 67521.3850568840. The cubic root of 4559137440 is about 1658.1643035606.

The spelling of 4559137440 in words is "four billion, five hundred fifty-nine million, one hundred thirty-seven thousand, four hundred forty".